Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces

*Correspondence: [email protected]; [email protected]; [email protected] 1Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand 2Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, 12121, Thailand Abstract In this paper, we introduce the concept of fuzzy mappings in Hausdorff fuzzy metric spaces (in the sense of George and Veeramani (Fuzzy Sets Syst. 64:395-399, 1994)). We establish the existence of α-fuzzy fixed point theorems for fuzzy mappings in Hausdorff fuzzy metric spaces, which can be utilized to derive fixed point theorems for multivalued mappings. We also give an illustrative example to support our main result.